Finding the Third Proportional to 22,600 and 34,384

Step by Step Solution

1. Step 1: Write the proportion equation
   22,600 : 34,384 = 34,384 : x
2. Step 2: Convert to fraction form
   22,600/34,384 = 34,384/x
3. Step 3: Cross multiply
   22,600x = 34,384 × 34,384
4. Step 4: Simplify right side
   22,600x = 1,182,259,456
5. Step 5: Solve for x
   x = 1,182,259,456/22,600
6. Step 6: Final answer
   x = 52,312.37